73.0k views
4 votes
The function f shown in the graph is an even function.

The function f shown in the graph is an even function.-example-1
User Sagarr
by
7.8k points

2 Answers

2 votes

the top half is the bottom is not

User Donclark
by
8.6k points
5 votes

f is increasing over the interval 0 < x < 2.

f(2) = 3.

f is decreasing over the interval 2 < x < 5.

In Mathematics and Geometry, a function f(x) is considered as an even function if the following condition holds for all x-values (both positive x-values and negative x-values) in the domain of function f(x):

f(x) = f(-x) ⇒ symmetrical with y-axis.

This ultimately implies that, a function that is symmetric with respect to the y-axis is an even function.

In this context, we can logically deduce the opposite of this graph would be defined over the interval x ≥ 0. Therefore, we can reasonably infer and logically deduce the following true statements;

f is increasing over the interval 0 < x < 2.

f(2) = 3.

f is decreasing over the interval 2 < x < 5.

User AWS PS
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories